Question

The sides of a rectangle are in the ratio 4 : 3. If the perimeter of the rectangle is 210, find its area

Answer 1

Answer:

2700

Step-by-step explanation:

Perimeter of rectangle= 2(length +breadth)

2(length +breadth)= 210

length +breadth= 210 ÷2

length +breadth= 105

Since the length of the rectangle is usually taken to be the longer side of the rectangle,

length: breadth= 4: 3

$\frac{length}{breadth} = \frac{4}{3}$

$length = \frac{4}{3} (breadth)$

$\frac{4}{3} (breadth) + breadth = 105$

$\frac{7}{3} (breadth) = 105$

breadth

$= 105 \div \frac{7}{3}$

$= 10 5\times \frac{3}{7}$

= 45

length +breadth= 105

length +45= 105

length

= 105 -45

= 60

Area of rectangle

= length ×breadth

= 45 ×60

= 2700